Fractal analysis of effective thermal conductivity for three-phase (unsaturated) porous media

2009 ◽  
Vol 106 (5) ◽  
pp. 054905 ◽  
Author(s):  
Jianlong Kou ◽  
Yang Liu ◽  
Fengmin Wu ◽  
Jintu Fan ◽  
Hangjun Lu ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Porous Media ◽  
Effective Thermal Conductivity ◽  
Fractal Analysis ◽  
Unsaturated Porous Media ◽  
Three Phase

scholarly journals Fractal geometry model for effective thermal conductivity of three-phase porous media

2004 ◽  
Vol 95 (11) ◽  
pp. 6426-6434 ◽  
Author(s):  
Yongting Ma ◽  
Boming Yu ◽  
Duanming Zhang ◽  
Mingqing Zou
Keyword(s):  
Thermal Conductivity ◽  
Porous Media ◽  
Effective Thermal Conductivity ◽  
Fractal Geometry ◽  
Geometry Model ◽  
Three Phase

AN INVESTIGATION ON EFFECTIVE THERMAL CONDUCTIVITY OF UNSATURATED FRACTAL POROUS MEDIA WITH ROUGHENED SURFACES

Fractals ◽  
2020 ◽  
Vol 28 (05) ◽  
pp. 2050080
Author(s):  
BOQI XIAO ◽  
YIDAN ZHANG ◽  
YAN WANG ◽  
WEI WANG ◽  
HANXIN CHEN ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Porous Media ◽  
Effective Thermal Conductivity ◽  
Fractal Dimensions ◽  
Fractal Model ◽  
Unsaturated Porous Media ◽  
Empirical Constant ◽  
Microstructural Parameters ◽  
Physical Mechanisms ◽  
Relative Roughness

The effective thermal conductivity of unsaturated porous media is of interest in a number of applications of heat transfer. In this paper, a novel fractal solution for effective thermal conductivity is derived based on the fractal distribution of surface roughness and pore size in unsaturated porous media with roughened surfaces. The proposed fractal model explicitly relates the effective thermal conductivity to the microstructural parameters (relative roughness, porosity and fractal dimensions). The proposed fractal model is verified by a satisfying agreement of the effective thermal conductivity predicted by our model and that reported as existing experimental data in the literature. A parametric study is also elaborated to investigate the influences of the microstructural parameters on the effective thermal conductivity. The results demonstrate that our proposed fractal model improves our understanding of the physical mechanisms of heat transport through unsaturated porous media with roughened surfaces. One advantage of our fractal analytical model is that it contains no empirical constant, while it is usually required in previous models.

Fractal Model for Thermal Conductivity of Wetting, Fibrous Porous Media

2012 ◽  
Vol 496 ◽  
pp. 12-16
Author(s):  
Fang Long Zhu ◽  
De Hong Xia ◽  
Yu Zhou
Keyword(s):  
Thermal Conductivity ◽  
Porous Media ◽  
Fractal Dimension ◽  
Effective Thermal Conductivity ◽  
Fractal Model ◽  
Self Similarity ◽  
Conductivity Model ◽  
Electrical Analogy ◽  
Fibrous Porous Media ◽  
Thermal Conductivity Model

The current paper deals with the fractal effective thermal conductivity model for fibrous porous media containing unsaturated water moisture. The model is based on the thermal-electrical analogy and statistical self-similarity of porous media. The fractal effective thermal conductivity model can be expressed as a function of the pore structure (fractal dimension) and architectural parameters of porous media. It is expected that the model will be helpful in the evaluation of thermal comfort for textiles in the whole range of porosity.

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